Special Quadrilaterals Practice Honors Geometry

Give the most descriptive name A quadrilateral with perpendicular diagonals must be a: _______________ Give the most descriptive name

Quadrilateral (Diagonals don’t have to bisect each other or be perpendicular!) Answer

Give the most descriptive name A parallelogram with perpendicular diagonals must be a: ______________ Give the most descriptive name

Rhombus (Parallelogram diagonals must bisect each other. Diagonals don’t have to be congruent, but are perpendicular. Forms 4 congruent triangles (SAS), so 4 congruent sides.) Answer

Give the most descriptive name A quadrilateral in which both diagonals bisect the opposite angles must be a _________________. Give the most descriptive name

Rhombus Answer

Give the most descriptive name A kite with congruent diagonals must be a: ____________________ Give the most descriptive name

Kite – could be square, but given doesn’t say diagonals have to bisect each other! Could be: Answer

Give the most descriptive name A parallelogram with diagonals bisecting opposite angles must be a: ___________ Give the most descriptive name

Rhombus (Opp. angles of parallelogram are congruent, so halves of angles are congruent, forming isos. triangles with congruent sides. Opp. sides of parallelograms are congruent, so all 4 sides must be congruent. Answer

Give the most descriptive name A rhombus with congruent diagonals must be a: ___________________ Give the most descriptive name

Square (A parallelogram with congruent diagonals must be a rectangle, which has 4 rt. angles. A rhombus has 4 congruent sides. A shape with 4 congruent sides and angles is a square!) Answer

Give the most descriptive name:

Parallelogram (Diagonals bisect each other) Answer

Give the most descriptive name

Quadrilateral (Diagonals do not have to be same length or bisect each other. Could look like diagram below: ) Answer

Give the most descriptive name

Quadrilateral (Could be either trap or parallelogram, so not enough info to classify) Answer

Give the most descriptive name

Kite (One diagonal is perp. bis. of the other, so the Equidistance Theorem applies) Answer

Give the most descriptive name

Rhombus (Bisecting diagonals means it must at least be a parallelogram, but 4 congruent sides makes it a rhombus.) Answer

Give the most descriptive name

Quadrilateral – Could be isos Quadrilateral – Could be isos. trapezoid, but could also be parallelogram since it is not stated that sides of length 8 AREN’T parallel… categories don’t overlap, so it is only known that the shape has 4 sides Answer